approximaatiot
Approximations are estimates of quantities that are difficult or impossible to compute exactly. They play a central role in mathematics, science, and engineering, where exact expressions may be unavailable or too costly to obtain. An approximation is typically accompanied by an error bound or a statement of how close it is to the truth.
There are analytical, numerical, and statistical kinds of approximations. Analytical approximations aim to replace a complex
Common methods include Taylor series and other expansions for function values near a point, asymptotic expansions
Error concepts such as absolute error, relative error, and error bounds guide the assessment of an approximation.
Historically and theoretically, approximation theory studies what can be approximated and how well. Early results, including